6(8X-1)-(6X+2)=(8X-3)

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Solution for 6(8X-1)-(6X+2)=(8X-3) equation:


Simplifying
6(8X + -1) + -1(6X + 2) = (8X + -3)

Reorder the terms:
6(-1 + 8X) + -1(6X + 2) = (8X + -3)
(-1 * 6 + 8X * 6) + -1(6X + 2) = (8X + -3)
(-6 + 48X) + -1(6X + 2) = (8X + -3)

Reorder the terms:
-6 + 48X + -1(2 + 6X) = (8X + -3)
-6 + 48X + (2 * -1 + 6X * -1) = (8X + -3)
-6 + 48X + (-2 + -6X) = (8X + -3)

Reorder the terms:
-6 + -2 + 48X + -6X = (8X + -3)

Combine like terms: -6 + -2 = -8
-8 + 48X + -6X = (8X + -3)

Combine like terms: 48X + -6X = 42X
-8 + 42X = (8X + -3)

Reorder the terms:
-8 + 42X = (-3 + 8X)

Remove parenthesis around (-3 + 8X)
-8 + 42X = -3 + 8X

Solving
-8 + 42X = -3 + 8X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-8X' to each side of the equation.
-8 + 42X + -8X = -3 + 8X + -8X

Combine like terms: 42X + -8X = 34X
-8 + 34X = -3 + 8X + -8X

Combine like terms: 8X + -8X = 0
-8 + 34X = -3 + 0
-8 + 34X = -3

Add '8' to each side of the equation.
-8 + 8 + 34X = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 34X = -3 + 8
34X = -3 + 8

Combine like terms: -3 + 8 = 5
34X = 5

Divide each side by '34'.
X = 0.1470588235

Simplifying
X = 0.1470588235

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